The number 76707
76707 is a composite number with 10 divisors. Its prime factorisation is × 947. Divisors (10): 1, 3, 9, 27, 81, 947, 2841, 8523, 25569, 76707.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76707: a Harshad number: divisible by its digit sum 27.
- 2
76707 is composite. Its prime factorisation is
- 3
The divisors add up to 114708; without 76707 itself that is 38001, so 76707 is deficient (38001 is less than 76707). Euler's totient φ(76707) = 51084 numbers up to 76707 share no factor with it.
- 4
The digits of 76707 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76707 = 3^{4} \times 947 \]76707 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 114708 |
| Euler totient φ(n) | 51084 |
| Square | 5883963849 |
| Cube | 451341214965243 |
| Square root | 276.960286 (= 9√947) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.6707 × |
76707 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and seven |
| Binary (base 2) | 10010101110100011 |
| Octal (base 8) | 225643 |
| Hexadecimal (base 16) | 12BA3 |
| Base 3 | 10220020000 |
| As time | 76707 seconds = 21 h 18 min 27 s |
Is 76707 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76707 ÷ 3 = 25569) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (76707 ÷ 9 = 8523) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76707 a prime number?
No. 76707 = × 947, so it is divisible by 3.
What are the factors of 76707?
1, 3, 9, 27, 81, 947, 2841, 8523, 25569, 76707.
What is 76707 in binary?
10010101110100011 (hexadecimal 12BA3, octal 225643).
What is the square root of 76707?
About 276.9603, exactly 9√947.
Is 76707 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 76707?
76707 is a Harshad number: divisible by its digit sum 27.